Entropy and emittance of particle and photon beams

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The emittance as the available phase space area is defined as the product of the elementary cell area {delta}{Omega} and exp(S), where S is the normalized entropy of a particle beam. The definition is based on the fact that the factor exp(S) can be interpreted as the number of the occupied cells. For particle beams, a closed expression for the emittance in terms of the phase space distribution function is obtained which is independent of {delta}{Omega}. To compute the emittance of the radiation beam, it is necessary to find the eigenvalues of the correlation operator. An explicit solution is found ... continued below

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3 p.

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Kim, K.J. & Littlejohn, R.G. April 1, 1995.

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The emittance as the available phase space area is defined as the product of the elementary cell area {delta}{Omega} and exp(S), where S is the normalized entropy of a particle beam. The definition is based on the fact that the factor exp(S) can be interpreted as the number of the occupied cells. For particle beams, a closed expression for the emittance in terms of the phase space distribution function is obtained which is independent of {delta}{Omega}. To compute the emittance of the radiation beam, it is necessary to find the eigenvalues of the correlation operator. An explicit solution is found for the case of a partially coherent radiation beam which is a stochastic superposition of coherent Gaussian beams with a Gaussian probability distribution. Such a beam is a reasonable model for undulator radiation by beam of electrons. From the requirement that the radiation emittance reproduces the particle beam emittance in the incoherent limit, the elementary cell area {delta}{Omega} is determined unambiguously to be {lambda}, the radiation wavelength. The emittance in the incoherent limit then becomes {lambda}.

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3 p.

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INIS; OSTI as DE95014772

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  • 15. IAEA conference on plasma physics and controlled nuclear fusion, Seville (Spain), 26 Sep - 1 Oct 1994

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  • Other: DE95014772
  • Report No.: LBL--36480
  • Report No.: CONF-9409369--2
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 101064
  • Archival Resource Key: ark:/67531/metadc624074

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  • April 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • April 5, 2016, 12:25 p.m.

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Kim, K.J. & Littlejohn, R.G. Entropy and emittance of particle and photon beams, article, April 1, 1995; California. (digital.library.unt.edu/ark:/67531/metadc624074/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.